TSTP Solution File: NUM622+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM622+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 14:12:19 EDT 2022

% Result   : Theorem 3.35s 3.59s
% Output   : Refutation 3.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    9 (   7 unt;   0 nHn;   9 RR)
%            Number of literals    :   11 (   2 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2807,hypothesis,
    ( ~ aElementOf0(X,szNzAzT0)
    | aElementOf0(sdtlpdtrp0(xe,X),sdtlpdtrp0(xN,X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).

cnf(2811,hypothesis,
    szDzozmdt0(xd) = szNzAzT0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4730) ).

cnf(2885,hypothesis,
    aElementOf0(xn,szDzozmdt0(xd)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).

cnf(2886,plain,
    aElementOf0(xn,szNzAzT0),
    inference('REWRITE',[status(thm)],[2885,2811,theory(equality)]) ).

cnf(2889,hypothesis,
    sdtlpdtrp0(xe,xn) = xp,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).

cnf(2904,hypothesis,
    ( ~ aElementOf0(X,sdtlpdtrp0(xN,xn))
    | aElementOf0(X,sdtlpdtrp0(xN,xm)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5461) ).

cnf(2906,negated_conjecture,
    ~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(3086,plain,
    aElementOf0(xp,sdtlpdtrp0(xN,xn)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2807,2886]),2889,theory(equality)]) ).

cnf(3101,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[2904,2906]),3086]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : NUM622+3 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.09  % Command  : run-snark %s %d
% 0.09/0.29  % Computer : n029.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 600
% 0.09/0.29  % DateTime : Tue Jul  5 23:50:27 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.14/0.38  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39  * 
% 0.14/0.39  * 
% 0.14/0.39  #<PACKAGE "SNARK-USER">
% 0.14/0.39  * 
% 0.14/0.39  SNARK-TPTP-OPTIONS
% 0.14/0.39  * 
% 0.14/0.39  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.39   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.39   (USE-FACTORING :POS)
% 0.14/0.39   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.39   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.39   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.39   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.39   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.39   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.39   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.39   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.39   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.39   (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.39  * 
% 0.14/0.39  "."
% 0.14/0.39  * 
% 0.14/0.39  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T23:50:27
% 0.14/0.39  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-05T23:50:27
% 3.35/3.59  
% 3.35/3.59  
% 3.35/3.59  #||
% 3.35/3.59  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.35/3.59  % SZS output start Refutation
% See solution above
% 3.35/3.59  ||#
% 3.35/3.59  
% 3.35/3.59  ; Summary of computation:
% 3.35/3.59  ;      4020 formulas have been input or derived (from 137 formulas).
% 3.35/3.59  ;      3101 (77%) were retained.  Of these,
% 3.35/3.59  ;          118 ( 4%) were simplified or subsumed later,
% 3.35/3.59  ;         2983 (96%) are still being kept.
% 3.35/3.59  ; 
% 3.35/3.59  ; Run time in seconds excluding printing time:
% 3.35/3.59  ;     0.046   1%   Read assertion file          (1 call)
% 3.35/3.59  ;     0.157   5%   Assert                       (119 calls)
% 3.35/3.59  ;     0.617  19%   Process new row              (3,942 calls)
% 3.35/3.59  ;     0.188   6%   Resolution                   (272 calls)
% 3.35/3.59  ;     0.001   0%   Paramodulation               (136 calls)
% 3.35/3.59  ;     0.181   6%   Condensing                   (3,437 calls)
% 3.35/3.59  ;     1.242  39%   Forward subsumption          (3,437 calls)
% 3.35/3.59  ;     0.296   9%   Backward subsumption         (2,791 calls)
% 3.35/3.59  ;     0.035   1%   Clause clause subsumption    (3,710 calls)
% 3.35/3.59  ;     0.335  10%   Forward simplification       (3,942 calls)
% 3.35/3.59  ;     0.011   0%   Backward simplification      (3,053 calls)
% 3.35/3.59  ;     0.000   0%   Ordering                     (118 calls)
% 3.35/3.59  ;     0.000   0%   Sortal reasoning             (32 calls)
% 3.35/3.59  ;     0.036   1%   Purity testing               (1 call)
% 3.35/3.59  ;     0.050   2%   Other
% 3.35/3.59  ;     3.195        Total
% 3.35/3.59  ;     3.198        Real time
% 3.35/3.59  ; 
% 3.35/3.59  ; Term-hash-array has 861 terms in all.
% 3.35/3.59  ; Feature-vector-row-index has 2,721 entries (2,721 at peak, 2,791 added, 70 deleted).
% 3.35/3.59  ; Feature-vector-row-index has 37,146 nodes (37,146 at peak, 38,341 added, 1,195 deleted).
% 3.35/3.59  ;  Retrieved 5,313 possibly forward subsuming rows in 3,437 calls.
% 3.35/3.59  ;  Retrieved 451 possibly backward subsumed rows in 2,791 calls.
% 3.35/3.59  ; Path-index has 880 entries (880 at peak, 888 added, 8 deleted).
% 3.35/3.59  ; Path-index has 1,882 nodes (1,882 at peak, 1,886 added, 4 deleted).
% 3.35/3.59  ; Trie-index has 880 entries (880 at peak, 888 added, 8 deleted).
% 3.35/3.59  ; Trie-index has 1,922 nodes (1,922 at peak, 1,931 added, 9 deleted).
% 3.35/3.59  ; Retrieved 327 generalization terms in 34,082 calls.
% 3.35/3.59  ; Retrieved 261 instance terms in 261 calls.
% 3.35/3.59  ; Retrieved 20,126 unifiable terms in 1,286 calls.
% 3.35/3.59  ; 
% 3.35/3.59  ; The agenda of input rows to give has 2652 entries:
% 3.35/3.59  ;    11 with value 15             12 with value 49              51 with value 82
% 3.35/3.59  ;     9 with value 16             13 with value 50              43 with value 83
% 3.35/3.59  ;     9 with value 17             20 with value 51              58 with value 84
% 3.35/3.59  ;     8 with value 18             21 with value 52              59 with value 85
% 3.35/3.59  ;     9 with value 19             26 with value 53              51 with value 86
% 3.35/3.59  ;    10 with value 20             20 with value 54              55 with value 87
% 3.35/3.59  ;    10 with value 21             35 with value 55              44 with value 88
% 3.35/3.59  ;     8 with value 22             39 with value 56              59 with value 89
% 3.35/3.59  ;     2 with value 23             36 with value 57              54 with value 90
% 3.35/3.59  ;    12 with value 24             32 with value 58              34 with value 91
% 3.35/3.59  ;    13 with value 25             29 with value 59              39 with value 92
% 3.35/3.59  ;     4 with value 26             42 with value 60              41 with value 93
% 3.35/3.59  ;     4 with value 27             37 with value 61              36 with value 94
% 3.35/3.59  ;     6 with value 28             26 with value 62              27 with value 95
% 3.35/3.59  ;     4 with value 29             28 with value 63              27 with value 96
% 3.35/3.59  ;     7 with value 30             40 with value 64              35 with value 97
% 3.35/3.59  ;     9 with value 31             39 with value 65              27 with value 98
% 3.35/3.59  ;     8 with value 32             44 with value 66              19 with value 99
% 3.35/3.59  ;     6 with value 33             39 with value 67              28 with value 100
% 3.35/3.59  ;     5 with value 34             53 with value 68              22 with value 101
% 3.35/3.59  ;     8 with value 35             62 with value 69              15 with value 102
% 3.35/3.59  ;     4 with value 36             49 with value 70              21 with value 103
% 3.35/3.59  ;     3 with value 37             59 with value 71              14 with value 104
% 3.35/3.59  ;     3 with value 38             64 with value 72              14 with value 105
% 3.35/3.59  ;    10 with value 39             72 with value 73              15 with value 106
% 3.35/3.59  ;     7 with value 40             70 with value 74              11 with value 107
% 3.35/3.59  ;     9 with value 41             58 with value 75              10 with value 108
% 3.35/3.59  ;     6 with value 42             70 with value 76               8 with value 109
% 3.35/3.59  ;     9 with value 43             68 with value 77              12 with value 110
% 3.35/3.59  ;    14 with value 44             54 with value 78               3 with value 111
% 3.35/3.59  ;    10 with value 45             52 with value 79               2 with value 112
% 3.35/3.59  ;     7 with value 46             60 with value 80               8 with value 113
% 3.35/3.59  ;    16 with value 47             59 with value 81               2 with value 116
% 3.35/3.59  ;    20 with value 48
% 3.35/3.59  ; The agenda of rows to give has 194 entries:
% 3.35/3.59  ;    16 with value (4 4)          15 with value (4 8)            2 with value (4 13)
% 3.35/3.59  ;    43 with value (4 5)           8 with value (4 9)            1 with value (4 15)
% 3.35/3.59  ;    28 with value (4 6)           5 with value (4 10)           1 with value (4 19)
% 3.35/3.59  ;    69 with value (4 7)           5 with value (4 11)           1 with value (4 24)
% 3.35/3.59  Evaluation took:
% 3.35/3.59    3.203 seconds of real time
% 3.35/3.59    3.078551 seconds of user run time
% 3.35/3.59    0.122985 seconds of system run time
% 3.35/3.59    [Run times include 0.206 seconds GC run time.]
% 3.35/3.59    0 calls to %EVAL
% 3.35/3.59    0 page faults and
% 3.35/3.59    186,383,408 bytes consed.
% 3.35/3.59  :PROOF-FOUND
% 3.35/3.59  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T23:50:31
% 3.35/3.59  :PROOF-FOUND
% 3.35/3.59  * 
%------------------------------------------------------------------------------